Learn how to solve problems step by step online. Find the limit of (x*7^x)/(7^x-1) as x approaches 0. The limit of the product of two functions is equal to the product of the limits of each function. Evaluate the limit \lim_{x\to0}\left(7^x\right) by replacing all occurrences of x by 0. Any expression multiplied by 1 is equal to itself. If we directly evaluate the limit \lim_{x\to0}\left(\frac{x}{7^x-1}\right) as x tends to 0, we can see that it gives us an indeterminate form.

Find the limit of (x*7^x)/(7^x-1) as x approaches 0